Continuous-Time Controlled Branching Processes

Ines M. Del Puerto,George P. Yanev,Manuel Molina,Nikolay M. Yanev,Miguel Gonzalez

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES（2021）

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摘要

Controlled branching processes with continuous time are introduced and limiting distributions are obtained in the critical case. An extension of this class as regenerative controlled branching processes with continuous time is proposed and some asymptotic properties are considered.

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关键词

controlled branching processes, renewal processes, regenerative processes, random time change, limiting distributions

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